DOI: 10.1016/s0020-7683(03)00024-6. A unified periodical boundary conditions for representative volume elements of composites and applications

A unified periodical boundary conditions for representative volume elements of composites and applications

10.1016/s0020-7683(03)00024-6

Crossref journal-article

Elsevier BV

International Journal of Solids and Structures (78)

Bibliography

Xia, Z., Zhang, Y., & Ellyin, F. (2003). A unified periodical boundary conditions for representative volume elements of composites and applications. International Journal of Solids and Structures, 40(8), 1907â1921.

Authors 3

Zihui Xia (first)
Yunfa Zhang (additional)
Fernand Ellyin (additional)

References 32 Referenced 818

10.1016/0749-6419(90)90014-6 / International Journal of Plasticity / Micromechanical prediction of initial and subsequent yield surfaces of metal matrix composites by Aboudi (1990)
{'key': '10.1016/S0020-7683(03)00024-6_BIB2', 'series-title': 'Mechanics of Composite Materials, A Unified Micromechanical Approach', 'author': 'Aboudi', 'year': '1991'} / Mechanics of Composite Materials, A Unified Micromechanical Approach by Aboudi (1991)
10.1016/0045-7949(84)90160-3 / Computer and Structures / Finite element micromechanical analysis of a unidirectional composite including longitudinal shear loading by Adams (1984)
{'key': '10.1016/S0020-7683(03)00024-6_BIB4', 'first-page': '31', 'article-title': 'Convergence rates for computational predictions of stiffness loss in metal matrix composites', 'volume': 'AMD-vol. 179/AD-vol. 37', 'author': 'Allen', 'year': '1993'} / Convergence rates for computational predictions of stiffness loss in metal matrix composites by Allen (1993)
{'key': '10.1016/S0020-7683(03)00024-6_BIB5', 'series-title': 'Homogenization in Periodic Media, Mathematical Problems of the Mechanics of Composite Materials', 'author': 'Bakhvalov', 'year': '1984'} / Homogenization in Periodic Media, Mathematical Problems of the Mechanics of Composite Materials by Bakhvalov (1984)
{'key': '10.1016/S0020-7683(03)00024-6_BIB6', 'series-title': 'Asymptotic Analysis for Periodic Structures', 'author': 'Benssousan', 'year': '1978'} / Asymptotic Analysis for Periodic Structures by Benssousan (1978)
10.1520/CTR10383J / Journal of Composite Technology and Research / Thermal residual stresses in a silicon-carbide/titanium [0/90] laminate by Bigelow (1993)
10.1016/0010-4361(94)90187-2 / Composites / Micro-damage effect on the overall response of long fiber/metal matrix composites by Bonora (1994)
{'key': '10.1016/S0020-7683(03)00024-6_BIB9', 'first-page': '14', 'article-title': 'Simplified composite micromechanics equations for hygral, thermal and mechanical properties', 'author': 'Chamis', 'year': '1984', 'journal-title': 'SAMPE Quarterly'} / SAMPE Quarterly / Simplified composite micromechanics equations for hygral, thermal and mechanical properties by Chamis (1984)
10.1177/002199801772662145 / Journal of Composite Materials / Evolution of residual stresses induced during curing processing using a viscoelastic micro-mechanical model by Chen (2001)
10.1016/0950-0618(95)00073-9 / Construction and Building Materials / Tensile and fatigue behavior of glass fiber/epoxy laminates by Ellyin (1995)
10.1016/S1359-835X(01)00112-9 / Composites, Part A / Viscoelastic micromechanical modeling of free edge and time effects in glass fiber/epoxy cross-ply laminates by Ellyin (2002)
10.1016/0045-7825(90)90148-F / Computer Methods in Applied Mechanics and Engineering / Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods by Guedes (1991)
10.1016/0022-5096(63)90060-7 / Journal of Mechanics and Physics of Solids / A variational approach to the theory of elastic behavior of multiphase materials by Hashin (1963)
10.1115/1.3629590 / ASME Journal of Applied Mechanics / The elastic moduli of fiber-reinforced materials by Hashin (1964)
10.1007/BF00369853 / Computational Mechanics / A comparison of homogenization and standard mechanics analysis for periodic porous composites by Hollister (1992)
Hoover, J.W., 1999. Transverse cracking of [±θ,903]S composite laminates. MSc thesis, Department of Mechanical Engineering, University of Alberta, Canada
10.1016/S0167-6636(99)00020-4 / Mechanics of Materials / On two micromechanics theories for determining micro–macro relations in heterogeneous solids by Hori (1999)
10.1177/002199838702100603 / Journal of Composite Materials / The characterization of boron/aluminum in the nonlinear range as an orthotropic elastic plastic material by Kenaga (1987)
10.1098/rspa.1999.0336 / Proceedings of the Royal Society of London, A / On the unit cell for micromechanical analysis of fiber-reinforced composites by Li (1999)
10.1016/S0749-6419(98)00024-2 / International Journal of Plasticity / Particle cracking in discretely reinforced materials with the voronoi cell finite element model by Moorthy (1998)
3M Minnesota Mining & Manufacturing Co., Technical Data of ‘Scotchply’ Reinforced Plastic Type 1002 & 1003. St Paul, MN, USA
10.1115/1.2900781 / ASME Journal of Applied Mechanics / Comparison of crystal plasticity and isotropic hardening predictions for metal-matrix composites by Needleman (1993)
{'key': '10.1016/S0020-7683(03)00024-6_BIB24', 'series-title': 'Micromechanics: Overall Properties of Heterogeneous Materials', 'author': 'Nemat-Nasser', 'year': '1993'} / Micromechanics: Overall Properties of Heterogeneous Materials by Nemat-Nasser (1993)
10.1016/0749-6419(88)90010-1 / International Journal of Plasticity / Micromechanical analysis of yielding of metal matrix composites by Pindera (1998)
10.1016/S0266-3538(00)00230-X / Composite Science and Technology / Revisiting the composite laminate problem with an adaptive multi-level computational model by Raghavan (2001)
{'key': '10.1016/S0020-7683(03)00024-6_BIB27', 'article-title': 'Non-homogeneous Media and Vibration Theory', 'volume': 'vol. 127', 'author': 'Sanchez-Palencia', 'year': '1980'} / Non-homogeneous Media and Vibration Theory by Sanchez-Palencia (1980)
10.1016/0266-3538(91)90092-4 / Composite Science and Technology / A micromechanical model for plastic behavior of fibrous composites by Sun (1991)
10.1016/0266-3538(95)00141-7 / Composite Science and Technology / Prediction of composite properties from a representative volume element by Sun (1996)
{'key': '10.1016/S0020-7683(03)00024-6_BIB30', 'series-title': 'Homogenization Techniques for Composite Media', 'first-page': '194', 'article-title': 'Elements of homogenization theory for inelastic solid mechanics', 'author': 'Suquet', 'year': '1987'} / Homogenization Techniques for Composite Media / Elements of homogenization theory for inelastic solid mechanics by Suquet (1987)
10.2514/3.3732 / AIAA Journal / Elastic properties of fiber reinforced composite materials by Whitney (1966)
10.1016/S0266-3538(00)00022-1 / Composite Science and Technology / A meso/micro-mechanical model for damage progression in glass–fiber/epoxy cross-ply laminates by finite-element analysis by Xia (2000)

Dates

Type	When
Created	22 years, 5 months ago (March 25, 2003, 1:18 p.m.)
Deposited	6 years, 5 months ago (March 27, 2019, 12:26 a.m.)
Indexed	1 day, 21 hours ago (Sept. 4, 2025, 9:18 a.m.)
Issued	22 years, 5 months ago (April 1, 2003)
Published	22 years, 5 months ago (April 1, 2003)
Published Print	22 years, 5 months ago (April 1, 2003)

Funders 0

None

BibTeX

@article{Xia_2003, title={A unified periodical boundary conditions for representative volume elements of composites and applications}, volume={40}, ISSN={0020-7683}, url={http://dx.doi.org/10.1016/s0020-7683(03)00024-6}, DOI={10.1016/s0020-7683(03)00024-6}, number={8}, journal={International Journal of Solids and Structures}, publisher={Elsevier BV}, author={Xia, Zihui and Zhang, Yunfa and Ellyin, Fernand}, year={2003}, month=apr, pages={1907–1921} }

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